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Finding the Fourth Proportional to 864.36, 1,297.08 and 453.79

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Solution

The fourth proportional to 864.36, 1,297.08 and 453.79 is: 680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.36 : 1,297.08 = 453.79 : x
  2. Step 2: Convert to fraction form
    864.36/1,297.08 = 453.79/x
  3. Step 3: Cross multiply
    864.36x = 1,297.08 × 453.79
  4. Step 4: Simplify right side
    864.36x = 588,593.18
  5. Step 5: Solve for x
    x = 588,593.18/864.36
  6. Step 6: Final answer
    x = 680.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.